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Browsing by Author "Kadkhoda, N."

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    Citation - Scopus: 6
    Lie Group Theory for Nonlinear Fractional K(M, N) Type Equation With Variable Coefficients
    (Springer Science and Business Media Deutschland GmbH, 2022) Kadkhoda, N.; Baleanu, D.; Jafari, H.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    We investigated the analytical solution of fractional order K(m, n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry analysis, we obtain the Lie point symmetries for this type of time-fractional partial differential equations (PDE). Also we present the corresponding reduced fractional differential equations (FDEs) corresponding to the time-fractional K(m, n) type equation. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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    Article
    Citation - Scopus: 12
    Optimal System and Symmetry Reduction of the (1+1) Dimensional Sawada-Kotera Equation
    (Academic Press, 2016) Kadkhoda, N.; Jafari, H.; Moremedi, G.M.; Baleanu, D.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    We study the nonlinear fifth order (1 + 1) dimensional Sawada-Kotera equation using Lie symmetry group. For this equation Lie point symmetry operators and optimal system are obtained. We determine the corresponding invariant solutions and reduced equations using obtained infinitesimal generators. © 2016 Academic Publications, Ltd.